Answer:
[tex]n=8\sqrt{2}[/tex]
Step-by-step explanation:
Measure of the angle given in the right triangle = 60°
Measure of the side opposite to the given angle = 4√6
Measure of hypotenuse = n
Therefore, we will apply the sine rule to get the measure of n,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{4\sqrt{6}}{n}[/tex]
[tex]n=\frac{8\sqrt{6} }{\sqrt{3} }[/tex]
[tex]n=8\sqrt{2}[/tex]
